Finding the Third Proportional to 301,273.50 and 709,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,273.50 : 709,978.50 = 709,978.50 : x
2. Step 2: Convert to fraction form
   301,273.50/709,978.50 = 709,978.50/x
3. Step 3: Cross multiply
   301,273.50x = 709,978.50 × 709,978.50
4. Step 4: Simplify right side
   301,273.50x = 504,069,470,462.25
5. Step 5: Solve for x
   x = 504,069,470,462.25/301,273.50
6. Step 6: Final answer
   x = 1,673,129.14